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Finding the Fourth Proportional to 8,420.76, 12,645.27 and 8,085.54

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Solution

The fourth proportional to 8,420.76, 12,645.27 and 8,085.54 is: 12,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.76 : 12,645.27 = 8,085.54 : x
  2. Step 2: Convert to fraction form
    8,420.76/12,645.27 = 8,085.54/x
  3. Step 3: Cross multiply
    8,420.76x = 12,645.27 × 8,085.54
  4. Step 4: Simplify right side
    8,420.76x = 102,243,836.40
  5. Step 5: Solve for x
    x = 102,243,836.40/8,420.76
  6. Step 6: Final answer
    x = 12,141.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.